Box of ideal gas in free fall

@article{Kothawala2013BoxOI,
  title={Box of ideal gas in free fall},
  author={Dawood Kothawala},
  journal={Physics Letters B},
  year={2013},
  volume={720},
  pages={410-413}
}
Abstract We study the quantum partition function of non-relativistic, ideal gas in a (non-cubical) box falling freely in arbitrary curved spacetime with center 4-velocity u a . When perturbed energy eigenvalues are properly taken into account, we find that corrections to various thermodynamic quantities include a very specific, sub-dominant term which is independent of kinematic details such as box dimensions and mass of particles. This term is characterized by the dimensionless quantity, Ξ = R… 
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References

SHOWING 1-10 OF 13 REFERENCES
Ideal gas in a strong gravitational field: Area dependence of entropy
We study the thermodynamic parameters like entropy, energy etc. of a box of gas made up of indistinguishable particles when the box is kept in various static background spacetimes having a horizon.
One-electron atom as a probe of space-time curvature
We consider a one-electron atom in an arbitrary curved space-time. After reviewing the generalization of the Dirac equation to curved space-time, we develop the perturbation theory of degenerate
Entropy of static spacetimes and microscopic density of states
A general ansatz for gravitational entropy can be provided using the criterion that any patch of area which acts as a horizon for a suitably defined accelerated observer must have an entropy
Ideal gas in a finite container
The thermodynamics of an ideal gas enclosed in a box of volume a1 x a2 x a3 at temperature T is considered. The canonical partition function of the system is expressed in terms of complete elliptic
Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
It is possible to provide a physical interpretation for the field equations of gravity based on a thermodynamical perspective. The virtual degrees of freedom associated with the horizons, as
Area scaling entropies for gravitating systems
The entropy of a spherically symmetric distribution of matter in self-equilibrium is calculated. When gravitational effects are neglected, the entropy of the system is proportional to its volume. As
Fermi Normal Coordinates and Some Basic Concepts in Differential Geometry
Fermi coordinates, where the metric is rectangular and has vanishing first derivatives at each point of a curve, are constructed in a particular way about a geodesic. This determines an expansion of
Thermodynamical aspects of gravity: new insights
The fact that one can associate thermodynamic properties with horizons brings together principles of quantum theory, gravitation and thermodynamics and possibly offers a window to the nature of
Black holes and entropy
There are a number of similarities between black-hole physics and thermodynamics. Most striking is the similarity in the behaviors of black-hole area and of entropy: Both quantities tend to increase
Killing symmetries and Smarr formula for black holes in arbitrary dimensions
We calculate the effective Komar conserved quantities for the $N+1$ dimensional charged Myers-Perry spacetime. At the event horizon we derive a new identity
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